Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176cc |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-236373272992230192 = -1 · 24 · 37 · 72 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11154,23395853] |
[a1,a2,a3,a4,a6] |
j |
-2725888/4198467 |
j-invariant |
L |
4.0354898500845 |
L(r)(E,1)/r! |
Ω |
0.25221811563909 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28392g1 6552h1 |
Quadratic twists by: -3 13 |